﻿namespace BitMiracle.LibTiff.Classic.Internal
{
    partial class CCITTCodec
    {
        private static readonly int[] m_faxMainTable =
        {
            12, 7, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0,
            5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 5, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0,
            2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0,
            4, 3, 1, 3, 1, 0, 5, 7, 3, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
            1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 4, 6, 2, 3, 1, 0,
            5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0,
            2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 6, 7, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0,
            4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
            5, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0,
            5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 4, 7, 3, 3, 1, 0, 5, 3, 1, 3, 1, 0,
            2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0, 1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0,
            4, 3, 1, 3, 1, 0, 4, 6, 2, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0,
            1, 4, 0, 3, 1, 0, 5, 3, 1, 3, 1, 0, 2, 3, 0, 3, 1, 0, 4, 3, 1, 3, 1, 0
        };

        private static readonly int[] m_faxWhiteTable =
        {
            12, 11, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
            7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8,
            7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1792, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16,
            9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128,
            7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5,
            7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3,
            7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
            7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17,
            9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128,
            7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
            7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6,
            7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1856, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
            7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16,
            9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9,
            9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6,
            7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            11, 12, 2112, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
            7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8,
            7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16,
            9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128,
            7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5,
            7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3,
            7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2368, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
            7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17,
            9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128,
            7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
            7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
            7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
            7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16,
            9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 11, 12, 1984, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9,
            9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6,
            7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
            7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8,
            7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1920, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16,
            9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128,
            7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5,
            7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3,
            7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
            7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17,
            9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128,
            7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
            7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6,
            7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2240, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
            7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16,
            9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9,
            9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6,
            7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            11, 12, 2496, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
            7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8,
            7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 12, 11, 0, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16,
            9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128,
            7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5,
            7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3,
            7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1792, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
            7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17,
            9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128,
            7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
            7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
            7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
            7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16,
            9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 11, 11, 1856, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9,
            9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6,
            7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
            7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8,
            7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2176, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16,
            9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128,
            7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5,
            7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3,
            7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15,
            7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17,
            9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128,
            7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5,
            7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6,
            7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2432, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14,
            7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16,
            9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9,
            9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 960, 7, 4, 6,
            7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            11, 12, 2048, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6,
            7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6, 7, 8, 32, 7, 5, 8,
            7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16,
            9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128,
            7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1536, 7, 4, 5,
            7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3,
            7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 11, 1920, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 896, 7, 4, 6,
            7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15,
            7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5, 7, 8, 44, 7, 6, 17,
            9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128,
            7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5,
            7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6,
            7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8,
            7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6, 7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1472, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1216, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14,
            7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16,
            9, 9, 960, 7, 4, 6, 7, 8, 31, 7, 5, 8, 7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 9, 704, 7, 4, 6, 7, 8, 37, 9, 5, 128,
            7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5,
            7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 11, 12, 2304, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3,
            7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16, 9, 9, 832, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9,
            9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128, 7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 9, 9, 1600, 7, 4, 5, 7, 8, 44, 7, 6, 17, 9, 9, 1344, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3, 7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1088, 7, 4, 6,
            7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9, 9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15,
            9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17,
            9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            0, 0, 0, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128,
            7, 7, 24, 7, 6, 14, 7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5,
            7, 8, 39, 7, 6, 16, 9, 8, 576, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 55, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 45, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 53, 7, 5, 9, 9, 8, 448, 7, 4, 6,
            7, 8, 35, 9, 5, 128, 7, 8, 51, 7, 6, 15, 7, 8, 63, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3,
            9, 9, 1536, 7, 4, 5, 7, 8, 43, 7, 6, 17, 9, 9, 1280, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 29, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9,
            9, 6, 1664, 7, 4, 6, 7, 8, 33, 9, 5, 128, 7, 8, 49, 7, 6, 14, 7, 8, 61, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 47, 7, 4, 3, 7, 8, 59, 7, 4, 5, 7, 8, 41, 7, 6, 16, 9, 9, 1024, 7, 4, 6, 7, 8, 31, 7, 5, 8,
            7, 8, 57, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5,
            7, 7, 26, 7, 5, 9, 9, 9, 768, 7, 4, 6, 7, 8, 37, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 320, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6,
            7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 11, 12, 2560, 7, 4, 3,
            7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6, 7, 7, 20, 9, 5, 128, 7, 7, 24, 7, 6, 14,
            7, 7, 28, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 23, 7, 4, 3, 7, 7, 27, 7, 4, 5, 7, 8, 40, 7, 6, 16,
            9, 9, 896, 7, 4, 6, 7, 7, 19, 7, 5, 8, 7, 8, 56, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 8, 46, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 8, 54, 7, 5, 9, 9, 8, 512, 7, 4, 6, 7, 8, 36, 9, 5, 128,
            7, 8, 52, 7, 6, 15, 7, 8, 0, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 6, 13, 7, 4, 3, 9, 9, 1728, 7, 4, 5,
            7, 8, 44, 7, 6, 17, 9, 9, 1408, 7, 4, 6, 7, 6, 1, 7, 5, 8, 9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4,
            7, 4, 2, 7, 4, 7, 7, 8, 30, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 6, 12, 7, 5, 9, 9, 6, 1664, 7, 4, 6,
            7, 8, 34, 9, 5, 128, 7, 8, 50, 7, 6, 14, 7, 8, 62, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 8, 48, 7, 4, 3,
            7, 8, 60, 7, 4, 5, 7, 8, 42, 7, 6, 16, 9, 9, 1152, 7, 4, 6, 7, 8, 32, 7, 5, 8, 7, 8, 58, 9, 5, 64,
            7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7, 7, 7, 22, 7, 4, 3, 7, 5, 11, 7, 4, 5, 7, 7, 26, 7, 5, 9,
            9, 8, 640, 7, 4, 6, 7, 8, 38, 9, 5, 128, 7, 7, 25, 7, 6, 15, 9, 8, 384, 7, 4, 4, 7, 4, 2, 7, 4, 7,
            7, 6, 13, 7, 4, 3, 7, 7, 18, 7, 4, 5, 7, 7, 21, 7, 6, 17, 9, 7, 256, 7, 4, 6, 7, 6, 1, 7, 5, 8,
            9, 6, 192, 9, 5, 64, 7, 5, 10, 7, 4, 4, 7, 4, 2, 7, 4, 7
        };

        private static readonly int[] m_faxBlackTable = 
        { 
            12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 128, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 56, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 30, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 57, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 54, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 52, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 48, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 12, 2112, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 44, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 36, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 384, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 28, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 60, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 40, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2368, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 12, 1984, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 50, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 34, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1664, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 26, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1408, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 32, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 61, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 42, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 13, 1024, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 13, 768, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 62, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2240, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 46, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 38, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 512, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 12, 2496, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 12, 11, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 12, 192, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1280, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 31, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 58, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 896, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 640, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 49, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2176, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 45, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 37, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 12, 448, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 29, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 13, 1536, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 41, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2432, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 12, 2048, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 51, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 35, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 320, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 27, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 59, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 33, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 256, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 43, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 13, 1152, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 55, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 63, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 12, 2304, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 47, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 39, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 53, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2560, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 25, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 12, 128, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 56, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 30, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 11, 1856, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 57, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 21, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 54, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 52, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 48, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2112, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 44, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 36, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 12, 384, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 28, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 60, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 40, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 12, 2368, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 1984, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 50, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 34, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 13, 1728, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 26, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 13, 1472, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 32, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 61, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 42, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1088, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 832, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 62, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 12, 2240, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 46, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 38, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 576, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2496, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 12, 11, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 11, 1792, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 23, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 20, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 25, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 192, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1344, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 31, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 11, 1856, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 58, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 21, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 10, 13, 960, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 13, 704, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 49, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2176, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 45, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 37, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 448, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 29, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1600, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 41, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            11, 12, 2432, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 18, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 17, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2048, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 51, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 35, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            10, 12, 320, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 27, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 59, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 33, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 11, 11, 1920, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 12, 256, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 43, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 13, 1216, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 9, 15, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 55, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 63, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2304, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 12, 47, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 12, 39, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 12, 53, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 0, 0, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 8, 13, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 11, 19, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 11, 24, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 11, 22, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 11, 12, 2560, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 7, 10, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 10, 16, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 10, 0, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 10, 10, 64, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 9, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 11, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3,
            8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2,
            8, 8, 14, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 6, 8, 8, 2, 3,
            8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 7, 12, 8, 2, 3, 8, 3, 1, 8, 2, 2,
            8, 4, 6, 8, 2, 3, 8, 3, 4, 8, 2, 2, 8, 5, 7, 8, 2, 3, 8, 3, 1, 8, 2, 2, 8, 4, 5, 8, 2, 3,
            8, 3, 4, 8, 2, 2
        };

        /*
         * Note that these tables are ordered such that the
         * index into the table is known to be either the
         * run length, or (run length / 64) + a fixed offset.
         *
         * NB: The G3CODE_INVALID entries are only used
         *     during state generation (see mkg3states.c).
         */
        private static readonly short[] m_faxWhiteCodes =
        {
            8, 0x35, 0,  /* 0011 0101 */
            6, 0x7, 1,  /* 0001 11 */
            4, 0x7, 2,  /* 0111 */
            4, 0x8, 3,  /* 1000 */
            4, 0xB, 4,  /* 1011 */
            4, 0xC, 5,  /* 1100 */
            4, 0xE, 6,  /* 1110 */
            4, 0xF, 7,  /* 1111 */
            5, 0x13, 8,  /* 1001 1 */
            5, 0x14, 9,  /* 1010 0 */
            5, 0x7, 10,  /* 0011 1 */
            5, 0x8, 11,  /* 0100 0 */
            6, 0x8, 12,  /* 0010 00 */
            6, 0x3, 13,  /* 0000 11 */
            6, 0x34, 14,  /* 1101 00 */
            6, 0x35, 15,  /* 1101 01 */
            6, 0x2A, 16,  /* 1010 10 */
            6, 0x2B, 17,  /* 1010 11 */
            7, 0x27, 18,  /* 0100 111 */
            7, 0xC, 19,  /* 0001 100 */
            7, 0x8, 20,  /* 0001 000 */
            7, 0x17, 21,  /* 0010 111 */
            7, 0x3, 22,  /* 0000 011 */
            7, 0x4, 23,  /* 0000 100 */
            7, 0x28, 24,  /* 0101 000 */
            7, 0x2B, 25,  /* 0101 011 */
            7, 0x13, 26,  /* 0010 011 */
            7, 0x24, 27,  /* 0100 100 */
            7, 0x18, 28,  /* 0011 000 */
            8, 0x2, 29,  /* 0000 0010 */
            8, 0x3, 30,  /* 0000 0011 */
            8, 0x1A, 31,  /* 0001 1010 */
            8, 0x1B, 32,  /* 0001 1011 */
            8, 0x12, 33,  /* 0001 0010 */
            8, 0x13, 34,  /* 0001 0011 */
            8, 0x14, 35,  /* 0001 0100 */
            8, 0x15, 36,  /* 0001 0101 */
            8, 0x16, 37,  /* 0001 0110 */
            8, 0x17, 38,  /* 0001 0111 */
            8, 0x28, 39,  /* 0010 1000 */
            8, 0x29, 40,  /* 0010 1001 */
            8, 0x2A, 41,  /* 0010 1010 */
            8, 0x2B, 42,  /* 0010 1011 */
            8, 0x2C, 43,  /* 0010 1100 */
            8, 0x2D, 44,  /* 0010 1101 */
            8, 0x4, 45,  /* 0000 0100 */
            8, 0x5, 46,  /* 0000 0101 */
            8, 0xA, 47,  /* 0000 1010 */
            8, 0xB, 48,  /* 0000 1011 */
            8, 0x52, 49,  /* 0101 0010 */
            8, 0x53, 50,  /* 0101 0011 */
            8, 0x54, 51,  /* 0101 0100 */
            8, 0x55, 52,  /* 0101 0101 */
            8, 0x24, 53,  /* 0010 0100 */
            8, 0x25, 54,  /* 0010 0101 */
            8, 0x58, 55,  /* 0101 1000 */
            8, 0x59, 56,  /* 0101 1001 */
            8, 0x5A, 57,  /* 0101 1010 */
            8, 0x5B, 58,  /* 0101 1011 */
            8, 0x4A, 59,  /* 0100 1010 */
            8, 0x4B, 60,  /* 0100 1011 */
            8, 0x32, 61,  /* 0011 0010 */
            8, 0x33, 62,  /* 0011 0011 */
            8, 0x34, 63,  /* 0011 0100 */
            5, 0x1B, 64,  /* 1101 1 */
            5, 0x12, 128,  /* 1001 0 */
            6, 0x17, 192,  /* 0101 11 */
            7, 0x37, 256,  /* 0110 111 */
            8, 0x36, 320,  /* 0011 0110 */
            8, 0x37, 384,  /* 0011 0111 */
            8, 0x64, 448,  /* 0110 0100 */
            8, 0x65, 512,  /* 0110 0101 */
            8, 0x68, 576,  /* 0110 1000 */
            8, 0x67, 640,  /* 0110 0111 */
            9, 0xCC, 704,  /* 0110 0110 0 */
            9, 0xCD, 768,  /* 0110 0110 1 */
            9, 0xD2, 832,  /* 0110 1001 0 */
            9, 0xD3, 896,  /* 0110 1001 1 */
            9, 0xD4, 960,  /* 0110 1010 0 */
            9, 0xD5, 1024,  /* 0110 1010 1 */
            9, 0xD6, 1088,  /* 0110 1011 0 */
            9, 0xD7, 1152,  /* 0110 1011 1 */
            9, 0xD8, 1216,  /* 0110 1100 0 */
            9, 0xD9, 1280,  /* 0110 1100 1 */
            9, 0xDA, 1344,  /* 0110 1101 0 */
            9, 0xDB, 1408,  /* 0110 1101 1 */
            9, 0x98, 1472,  /* 0100 1100 0 */
            9, 0x99, 1536,  /* 0100 1100 1 */
            9, 0x9A, 1600,  /* 0100 1101 0 */
            6, 0x18, 1664,  /* 0110 00 */
            9, 0x9B, 1728,  /* 0100 1101 1 */
            11, 0x8, 1792,  /* 0000 0001 000 */
            11, 0xC, 1856,  /* 0000 0001 100 */
            11, 0xD, 1920,  /* 0000 0001 101 */
            12, 0x12, 1984,  /* 0000 0001 0010 */
            12, 0x13, 2048,  /* 0000 0001 0011 */
            12, 0x14, 2112,  /* 0000 0001 0100 */
            12, 0x15, 2176,  /* 0000 0001 0101 */
            12, 0x16, 2240,  /* 0000 0001 0110 */
            12, 0x17, 2304,  /* 0000 0001 0111 */
            12, 0x1C, 2368,  /* 0000 0001 1100 */
            12, 0x1D, 2432,  /* 0000 0001 1101 */
            12, 0x1E, 2496,  /* 0000 0001 1110 */
            12, 0x1F, 2560,  /* 0000 0001 1111 */
            12, 0x1, G3CODE_EOL,  /* 0000 0000 0001 */
            9, 0x1, G3CODE_INVALID,  /* 0000 0000 1 */
            10, 0x1, G3CODE_INVALID,  /* 0000 0000 01 */
            11, 0x1, G3CODE_INVALID,  /* 0000 0000 001 */
            12, 0x0, G3CODE_INVALID,  /* 0000 0000 0000 */
        };

        private static readonly short[] m_faxBlackCodes = 
        {
            10, 0x37, 0,  /* 0000 1101 11 */
            3, 0x2, 1,  /* 010 */
            2, 0x3, 2,  /* 11 */
            2, 0x2, 3,  /* 10 */
            3, 0x3, 4,  /* 011 */
            4, 0x3, 5,  /* 0011 */
            4, 0x2, 6,  /* 0010 */
            5, 0x3, 7,  /* 0001 1 */
            6, 0x5, 8,  /* 0001 01 */
            6, 0x4, 9,  /* 0001 00 */
            7, 0x4, 10,  /* 0000 100 */
            7, 0x5, 11,  /* 0000 101 */
            7, 0x7, 12,  /* 0000 111 */
            8, 0x4, 13,  /* 0000 0100 */
            8, 0x7, 14,  /* 0000 0111 */
            9, 0x18, 15,  /* 0000 1100 0 */
            10, 0x17, 16,  /* 0000 0101 11 */
            10, 0x18, 17,  /* 0000 0110 00 */
            10, 0x8, 18,  /* 0000 0010 00 */
            11, 0x67, 19,  /* 0000 1100 111 */
            11, 0x68, 20,  /* 0000 1101 000 */
            11, 0x6C, 21,  /* 0000 1101 100 */
            11, 0x37, 22,  /* 0000 0110 111 */
            11, 0x28, 23,  /* 0000 0101 000 */
            11, 0x17, 24,  /* 0000 0010 111 */
            11, 0x18, 25,  /* 0000 0011 000 */
            12, 0xCA, 26,  /* 0000 1100 1010 */
            12, 0xCB, 27,  /* 0000 1100 1011 */
            12, 0xCC, 28,  /* 0000 1100 1100 */
            12, 0xCD, 29,  /* 0000 1100 1101 */
            12, 0x68, 30,  /* 0000 0110 1000 */
            12, 0x69, 31,  /* 0000 0110 1001 */
            12, 0x6A, 32,  /* 0000 0110 1010 */
            12, 0x6B, 33,  /* 0000 0110 1011 */
            12, 0xD2, 34,  /* 0000 1101 0010 */
            12, 0xD3, 35,  /* 0000 1101 0011 */
            12, 0xD4, 36,  /* 0000 1101 0100 */
            12, 0xD5, 37,  /* 0000 1101 0101 */
            12, 0xD6, 38,  /* 0000 1101 0110 */
            12, 0xD7, 39,  /* 0000 1101 0111 */
            12, 0x6C, 40,  /* 0000 0110 1100 */
            12, 0x6D, 41,  /* 0000 0110 1101 */
            12, 0xDA, 42,  /* 0000 1101 1010 */
            12, 0xDB, 43,  /* 0000 1101 1011 */
            12, 0x54, 44,  /* 0000 0101 0100 */
            12, 0x55, 45,  /* 0000 0101 0101 */
            12, 0x56, 46,  /* 0000 0101 0110 */
            12, 0x57, 47,  /* 0000 0101 0111 */
            12, 0x64, 48,  /* 0000 0110 0100 */
            12, 0x65, 49,  /* 0000 0110 0101 */
            12, 0x52, 50,  /* 0000 0101 0010 */
            12, 0x53, 51,  /* 0000 0101 0011 */
            12, 0x24, 52,  /* 0000 0010 0100 */
            12, 0x37, 53,  /* 0000 0011 0111 */
            12, 0x38, 54,  /* 0000 0011 1000 */
            12, 0x27, 55,  /* 0000 0010 0111 */
            12, 0x28, 56,  /* 0000 0010 1000 */
            12, 0x58, 57,  /* 0000 0101 1000 */
            12, 0x59, 58,  /* 0000 0101 1001 */
            12, 0x2B, 59,  /* 0000 0010 1011 */
            12, 0x2C, 60,  /* 0000 0010 1100 */
            12, 0x5A, 61,  /* 0000 0101 1010 */
            12, 0x66, 62,  /* 0000 0110 0110 */
            12, 0x67, 63,  /* 0000 0110 0111 */
            10, 0xF, 64,  /* 0000 0011 11 */
            12, 0xC8, 128,  /* 0000 1100 1000 */
            12, 0xC9, 192,  /* 0000 1100 1001 */
            12, 0x5B, 256,  /* 0000 0101 1011 */
            12, 0x33, 320,  /* 0000 0011 0011 */
            12, 0x34, 384,  /* 0000 0011 0100 */
            12, 0x35, 448,  /* 0000 0011 0101 */
            13, 0x6C, 512,  /* 0000 0011 0110 0 */
            13, 0x6D, 576,  /* 0000 0011 0110 1 */
            13, 0x4A, 640,  /* 0000 0010 0101 0 */
            13, 0x4B, 704,  /* 0000 0010 0101 1 */
            13, 0x4C, 768,  /* 0000 0010 0110 0 */
            13, 0x4D, 832,  /* 0000 0010 0110 1 */
            13, 0x72, 896,  /* 0000 0011 1001 0 */
            13, 0x73, 960,  /* 0000 0011 1001 1 */
            13, 0x74, 1024,  /* 0000 0011 1010 0 */
            13, 0x75, 1088,  /* 0000 0011 1010 1 */
            13, 0x76, 1152,  /* 0000 0011 1011 0 */
            13, 0x77, 1216,  /* 0000 0011 1011 1 */
            13, 0x52, 1280,  /* 0000 0010 1001 0 */
            13, 0x53, 1344,  /* 0000 0010 1001 1 */
            13, 0x54, 1408,  /* 0000 0010 1010 0 */
            13, 0x55, 1472,  /* 0000 0010 1010 1 */
            13, 0x5A, 1536,  /* 0000 0010 1101 0 */
            13, 0x5B, 1600,  /* 0000 0010 1101 1 */
            13, 0x64, 1664,  /* 0000 0011 0010 0 */
            13, 0x65, 1728,  /* 0000 0011 0010 1 */
            11, 0x8, 1792,  /* 0000 0001 000 */
            11, 0xC, 1856,  /* 0000 0001 100 */
            11, 0xD, 1920,  /* 0000 0001 101 */
            12, 0x12, 1984,  /* 0000 0001 0010 */
            12, 0x13, 2048,  /* 0000 0001 0011 */
            12, 0x14, 2112,  /* 0000 0001 0100 */
            12, 0x15, 2176,  /* 0000 0001 0101 */
            12, 0x16, 2240,  /* 0000 0001 0110 */
            12, 0x17, 2304,  /* 0000 0001 0111 */
            12, 0x1C, 2368,  /* 0000 0001 1100 */
            12, 0x1D, 2432,  /* 0000 0001 1101 */
            12, 0x1E, 2496,  /* 0000 0001 1110 */
            12, 0x1F, 2560,  /* 0000 0001 1111 */
            12, 0x1, G3CODE_EOL,  /* 0000 0000 0001 */
            9, 0x1, G3CODE_INVALID,  /* 0000 0000 1 */
            10, 0x1, G3CODE_INVALID,  /* 0000 0000 01 */
            11, 0x1, G3CODE_INVALID,  /* 0000 0000 001 */
            12, 0x0, G3CODE_INVALID,  /* 0000 0000 0000 */
        };

        private static readonly tableEntry m_horizcode = new tableEntry(3, 0x1, 0); /* 001 */
        private static readonly tableEntry m_passcode = new tableEntry(4, 0x1, 0); /* 0001 */
        private static readonly tableEntry[] m_vcodes = 
        {
            new tableEntry(7, 0x03, 0),  /* 0000 011 */
            new tableEntry(6, 0x03, 0),  /* 0000 11 */
            new tableEntry(3, 0x03, 0),  /* 011 */
            new tableEntry(1, 0x1, 0),   /* 1 */
            new tableEntry(3, 0x2, 0),   /* 010 */
            new tableEntry(6, 0x02, 0),  /* 0000 10 */
            new tableEntry(7, 0x02, 0)   /* 0000 010 */
        };

        private static readonly int[] m_msbmask = 
        {
            0x00, 0x01, 0x03, 0x07, 0x0f, 0x1f, 0x3f, 0x7f, 0xff
        };

        private static readonly byte[] m_zeroruns =  
        {
            8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4,  /* 0x00 - 0x0f */
            3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,  /* 0x10 - 0x1f */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0x20 - 0x2f */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0x30 - 0x3f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x40 - 0x4f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x50 - 0x5f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x60 - 0x6f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x70 - 0x7f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x80 - 0x8f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x90 - 0x9f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xa0 - 0xaf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xb0 - 0xbf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xc0 - 0xcf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xd0 - 0xdf */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xe0 - 0xef */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0xf0 - 0xff */
        };

        private static readonly byte[] m_oneruns = 
        {
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x00 - 0x0f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x10 - 0x1f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x20 - 0x2f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x30 - 0x3f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x40 - 0x4f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x50 - 0x5f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x60 - 0x6f */
            0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  /* 0x70 - 0x7f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x80 - 0x8f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0x90 - 0x9f */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0xa0 - 0xaf */
            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,  /* 0xb0 - 0xbf */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0xc0 - 0xcf */
            2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,  /* 0xd0 - 0xdf */
            3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,  /* 0xe0 - 0xef */
            4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8,  /* 0xf0 - 0xff */
        };

        private static readonly byte[] fillMasks = 
        {
            0x00, 0x80, 0xc0, 0xe0, 0xf0, 0xf8, 0xfc, 0xfe, 0xff
        };
    }
}
